Holdings: The Grassmannian variety

The Grassmannian variety: geometric and representation-theoretic aspects

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Bibliographic Details
Main Authors:	Lakshmibai, Venkatramani (Author), Brown, Justin (Author)
Format:	Electronic eBook
Language:	English
Published:	New York Springer [2015]
Series:	Developments in mathematics volume 42
Subjects:	Mathematics Algebraic geometry Algebraic topology Combinatorics Algebraic Geometry Algebraic Topology Mathematik Graßmann-Mannigfaltigkeit Kommutative Algebra Algebraische Geometrie
Online Access:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online Ressource (X, 172 Seiten, 123 illus., 39 illus. in color)
ISBN:	9781493930821
ISSN:	1389-2177
DOI:	10.1007/978-1-4939-3082-1

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adam_text	THE GRASSMANNIAN VARIETY / LAKSHMIBAI, V. : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREFACE 1. INTRODUCTION PART I. ALGEBRAIC GEOMETRY—A BRIEF RECOLLECTION- 2. PRELIMINARY MATERIAL 3. COHOMOLOGY THEORY 4. GROEBNER BASES PART II. GRASSMANNIAN AND SCHUBERT VARIETIES 5. THE GRASSMANNIAN AND ITS SCHUBERT VARIETIES 6. FURTHER GEOMETRIC PROPERTIES OF SCHUBERT VARIETIES 7. FLAT DEGENERATIONS PART III. FLAG VARIETIES AND RELATED VARIETIES 8. THE FLAG VARIETY: GEOMETRIC AND REPRESENTATION-THEORETIC ASPECTS 9. RELATIONSHIP TO CLASSICAL INVARIANT THEORY 10. DETERMINANTAL VARIETIES 11. RELATED TOPICS REFERENCES LIST OF SYMBOLS INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. THE GRASSMANNIAN VARIETY / LAKSHMIBAI, V. : 2015 ABSTRACT / INHALTSTEXT THIS BOOK GIVES A COMPREHENSIVE TREATMENT OF THE GRASSMANNIAN VARIETIES AND THEIR SCHUBERT SUBVARIETIES, FOCUSING ON THE GEOMETRIC AND REPRESENTATION-THEORETIC ASPECTS OF GRASSMANNIAN VARIETIES. RESEARCH OF GRASSMANNIAN VARIETIES IS CENTERED AT THE CROSSROADS OF COMMUTATIVE ALGEBRA, ALGEBRAIC GEOMETRY, REPRESENTATION THEORY, AND COMBINATORICS. THEREFORE, THIS TEXT UNIQUELY PRESENTS AN EXCITING PLAYING FIELD FOR GRADUATE STUDENTS AND RESEARCHERS IN MATHEMATICS, PHYSICS, AND COMPUTER SCIENCE, TO EXPAND THEIR KNOWLEDGE IN THE FIELD OF ALGEBRAIC GEOMETRY. THE STANDARD MONOMIAL THEORY (SMT) FOR THE GRASSMANNIAN VARIETIES AND THEIR SCHUBERT SUBVARIETIES ARE INTRODUCED AND THE TEXT PRESENTS SOME IMPORTANT APPLICATIONS OF SMT INCLUDING THE COHEN–MACAULAY PROPERTY, NORMALITY, UNIQUE FACTORIALITY, GORENSTEIN PROPERTY, SINGULAR LOCI OF SCHUBERT VARIETIES, TORIC DEGENERATIONS OF SCHUBERT VARIETIES, AND THE RELATIONSHIP BETWEEN SCHUBERT VARIETIES AND CLASSICAL INVARIANT THEORY. THIS TEXT WOULD SERVE WELL AS A REFERENCE BOOK FOR A GRADUATE WORK ON GRASSMANNIAN VARIETIES AND WOULD BE AN EXCELLENT SUPPLEMENTARY TEXT FOR SEVERAL COURSES INCLUDING THOSE IN GEOMETRY OF SPHERICAL VARIETIES, SCHUBERT VARIETIES, ADVANCED TOPICS IN GEOMETRIC AND DIFFERENTIAL TOPOLOGY, REPRESENTATION THEORY OF COMPACT AND REDUCTIVE GROUPS, LIE THEORY, TORIC VARIETIES, GEOMETRIC REPRESENTATION THEORY, AND SINGULARITY THEORY. THE READER SHOULD HAVE SOME FAMILIARITY WITH COMMUTATIVE ALGEBRA AND ALGEBRAIC GEOMETRY DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Lakshmibai, Venkatramani Brown, Justin
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spelling	Lakshmibai, Venkatramani Verfasser (DE-588)122537416 aut The Grassmannian variety geometric and representation-theoretic aspects V. Lakshmibai, Justin Brown New York Springer [2015] © 2015 1 Online Ressource (X, 172 Seiten, 123 illus., 39 illus. in color) txt rdacontent c rdamedia cr rdacarrier Developments in mathematics volume 42 1389-2177 Mathematics Algebraic geometry Algebraic topology Combinatorics Algebraic Geometry Algebraic Topology Mathematik Graßmann-Mannigfaltigkeit (DE-588)4158085-0 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Graßmann-Mannigfaltigkeit (DE-588)4158085-0 s Kommutative Algebra (DE-588)4164821-3 s Algebraische Geometrie (DE-588)4001161-6 s 1\p DE-604 Brown, Justin Verfasser (DE-588)14281783X aut Erscheint auch als Druckausgabe 978-1-4939-3081-4 Developments in mathematics volume 42 (DE-604)BV036889254 42 https://doi.org/10.1007/978-1-4939-3082-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632780&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632780&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Lakshmibai, Venkatramani Brown, Justin The Grassmannian variety geometric and representation-theoretic aspects Developments in mathematics Mathematics Algebraic geometry Algebraic topology Combinatorics Algebraic Geometry Algebraic Topology Mathematik Graßmann-Mannigfaltigkeit (DE-588)4158085-0 gnd Kommutative Algebra (DE-588)4164821-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd
subject_GND	(DE-588)4158085-0 (DE-588)4164821-3 (DE-588)4001161-6
title	The Grassmannian variety geometric and representation-theoretic aspects
title_auth	The Grassmannian variety geometric and representation-theoretic aspects
title_exact_search	The Grassmannian variety geometric and representation-theoretic aspects
title_full	The Grassmannian variety geometric and representation-theoretic aspects V. Lakshmibai, Justin Brown
title_fullStr	The Grassmannian variety geometric and representation-theoretic aspects V. Lakshmibai, Justin Brown
title_full_unstemmed	The Grassmannian variety geometric and representation-theoretic aspects V. Lakshmibai, Justin Brown
title_short	The Grassmannian variety
title_sort	the grassmannian variety geometric and representation theoretic aspects
title_sub	geometric and representation-theoretic aspects
topic	Mathematics Algebraic geometry Algebraic topology Combinatorics Algebraic Geometry Algebraic Topology Mathematik Graßmann-Mannigfaltigkeit (DE-588)4158085-0 gnd Kommutative Algebra (DE-588)4164821-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd
topic_facet	Mathematics Algebraic geometry Algebraic topology Combinatorics Algebraic Geometry Algebraic Topology Mathematik Graßmann-Mannigfaltigkeit Kommutative Algebra Algebraische Geometrie
url	https://doi.org/10.1007/978-1-4939-3082-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632780&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632780&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV036889254
work_keys_str_mv	AT lakshmibaivenkatramani thegrassmannianvarietygeometricandrepresentationtheoreticaspects AT brownjustin thegrassmannianvarietygeometricandrepresentationtheoreticaspects

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